MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { function(iszero(), 0(), dummy, dummy2) -> true() , function(iszero(), s(x), dummy, dummy2) -> false() , function(p(), 0(), dummy, dummy2) -> 0() , function(p(), s(0()), dummy, dummy2) -> 0() , function(p(), s(s(x)), dummy, dummy2) -> s(function(p(), s(x), x, x)) , function(plus(), dummy, x, y) -> function(if(), function(iszero(), x, x, x), x, y) , function(if(), true(), x, y) -> y , function(if(), false(), x, y) -> function(plus(), function(third(), x, y, y), function(p(), x, x, y), s(y)) , function(third(), x, y, z) -> z } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'empty' failed due to the following reason: Empty strict component of the problem is NOT empty. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 60.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 30.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..